Aggregator command to add the Shear force-deformation
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Aggregator command to add the Shear force-deformation
Hi, everybody,
I am using the section Aggregator command to add the Shear force-deformation to the existing fiber section, but I am confused about how to define the Shear force-deformation relation for the uniaxialMaterial, anybody can help or provide some reference about it? Thanks a lot.
I am using the section Aggregator command to add the Shear force-deformation to the existing fiber section, but I am confused about how to define the Shear force-deformation relation for the uniaxialMaterial, anybody can help or provide some reference about it? Thanks a lot.
Re: Aggregator command to add the Shear force-deformation
Use a uniaxialMaterial to define the section shear force-shear deformation relationship, then add it to the fiber section using 'Vy' in the aggregator. I don't have a specific example on hand, but you can search the message board as this is not an uncommon question.
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Re: Aggregator command to add the Shear force-deformation
If you are using an elastic response
uniaxialMaterial Elastic $matTag $GA
If inelastic (using Steel01 for example to represent bilinear relationship)
uniaxialMaterial Steel01 $matTag $Fy $GA $b
Fy is the shear capacity, GA is the multiplication of shear modulus and shear area, b is the ratio of slope after yield to GA. You can have it negative to represent brittle failure
uniaxialMaterial Elastic $matTag $GA
If inelastic (using Steel01 for example to represent bilinear relationship)
uniaxialMaterial Steel01 $matTag $Fy $GA $b
Fy is the shear capacity, GA is the multiplication of shear modulus and shear area, b is the ratio of slope after yield to GA. You can have it negative to represent brittle failure
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Re: Aggregator command to add the Shear force-deformation
Thanks, it is very helpful,mhscott wrote: ↑Mon Aug 24, 2020 12:04 pm Use a uniaxialMaterial to define the section shear force-shear deformation relationship, then add it to the fiber section using 'Vy' in the aggregator. I don't have a specific example on hand, but you can search the message board as this is not an uncommon question.
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Re: Aggregator command to add the Shear force-deformation
selimgunay wrote: ↑Mon Aug 24, 2020 12:23 pm If you are using an elastic response
uniaxialMaterial Elastic $matTag $GA
If inelastic (using Steel01 for example to represent bilinear relationship)
uniaxialMaterial Steel01 $matTag $Fy $GA $b
Fy is the shear capacity, GA is the multiplication of shear modulus and shear area, b is the ratio of slope after yield to GA. You can have it negative to represent brittle failure
Thanks for your reply.
Can I understand it in this way, when using uniaxialMaterial command:
For shear, we use GA to describe the relation between F and gamma;
For torsion, we use GJ to describe the relation between T and theta;
As for Fy, does it mean the shear force when the section starts to yields?
Hope you can help me confirm it.
Another is for the A in GA, do we need to use the whole area or the effective area and why? Thanks.
Re: Aggregator command to add the Shear force-deformation
Yes, the "Fy" is interpreted as yield shear force.
You can use whatever "A" you want in GA ... it's just a number to the material model
You can use whatever "A" you want in GA ... it's just a number to the material model
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Re: Aggregator command to add the Shear force-deformation
Fy is the shear capacity and in a bilinear model that you use, it corresponds to the yield force.
A is shear area which is equal to 5/6 of the total area for rectangular sections and 9/10 of the total area for circular sections
A is shear area which is equal to 5/6 of the total area for rectangular sections and 9/10 of the total area for circular sections
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Re: Aggregator command to add the Shear force-deformation
Brilliant, for the shear area, I am trying to find some references where you can derive the shape factor for any shape, would you have any resources for it? Thanks.selimgunay wrote: ↑Mon Aug 24, 2020 2:13 pm Fy is the shear capacity and in a bilinear model that you use, it corresponds to the yield force.
A is shear area which is equal to 5/6 of the total area for rectangular sections and 9/10 of the total area for circular sections
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Re: Aggregator command to add the Shear force-deformation
You can find a derivation and some references here:
http://citeseerx.ist.psu.edu/viewdoc/do ... 1&type=pdf
http://citeseerx.ist.psu.edu/viewdoc/do ... 1&type=pdf
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Re: Aggregator command to add the Shear force-deformation
Awesome, many thanks.selimgunay wrote: ↑Mon Aug 24, 2020 3:36 pm You can find a derivation and some references here:
http://citeseerx.ist.psu.edu/viewdoc/do ... 1&type=pdf